Saturated steam at 1 atm is condensed on the external surface of a copper tube with an outside diameter 16 mm and tube wall of thickness 0.5 mm. The tube is cooled internally by water with a mass flow rate of 0.06 kg/s, which in turn is raised in temperature from 15 oC to 60 oC as it flows through the tube. Take the heat-transfer coefficient at the condensing side as 10.0 kW/m2 K and the isobaric specific heat-capacity of water as 4180 J/kg K. i) Calculate the heat transfer rate to the cooling water.  ii)

Design a hydrocooling unit that can cool fruits andvegetables from 30 to 5°C at a rate of 20,000 kg/h under thefollowing conditions:The unit will be of flood type, which will cool the productsas they are conveyed into the channel filled with water. Theproducts will be dropped into the channel filled with water atone end and be picked up at the other end. The channel canbe as wide as 3 m and as high as 90 cm. The water is to becirculated and cooled by the evaporator section of a refrigerationsystem. The refrigerant temperature inside the coils is tobe 22°C, and the water temperature is not to drop below 1°Cand not to exceed 6°C.Assuming reasonable values for the average product density,specific heat, and porosity (the fraction of air volume ina box), recommend reasonable values for (a) the water velocitythrough the channel and (b) the refrigeration capacity ofthe refrigeration system.

Read the question carefully and give me right solution with clear calculations. Note : careful with given values

Liquid mercury at 0.5 kg/s is to be heated from 300K to 400K by passing it through a 50mm diameter tube whose surface is maintained at 450K. Calculate the required tube length by using an appropriate liquid metal convection heat transfer correlation. Compare your result with that which would have been obtained by using a correlation approximate for Pr > 0.7.